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1024140460080 = 243510987388391
BaseRepresentation
bin11101110011100111000…
…01110100000000110000
310121220111002221212012010
432321303201310000300
5113234414424210310
62102252244202520
7133664104164063
oct16716341640060
93556432855163
101024140460080
11365376654951
1214659a699440
137576470374a
14377d65a68da
151b990c50320
hexee73874030

1024140460080 has 80 divisors (see below), whose sum is σ = 3175132564224. Its totient is φ = 273078562560.

The previous prime is 1024140460069. The next prime is 1024140460087. The reversal of 1024140460080 is 800640414201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1024140460087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442685 + ... + 2831075.

Almost surely, 21024140460080 is an apocalyptic number.

1024140460080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024140460080 is an abundant number, since it is smaller than the sum of its proper divisors (2150992104144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1024140460080 is a wasteful number, since it uses less digits than its factorization.

1024140460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399394 (or 399388 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1024140460080 its reverse (800640414201), we get a palindrome (1824780874281).

The spelling of 1024140460080 in words is "one trillion, twenty-four billion, one hundred forty million, four hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10987 21974 32961 43948 54935 65922 87896 109870 131844 164805 175792 219740 263688 329610 388391 439480 527376 659220 776782 878960 1165173 1318440 1553564 1941955 2330346 2636880 3107128 3883910 4660692 5825865 6214256 7767820 9321384 11651730 15535640 18642768 23303460 31071280 46606920 93213840 4267251917 8534503834 12801755751 17069007668 21336259585 25603511502 34138015336 42672519170 51207023004 64008778755 68276030672 85345038340 102414046008 128017557510 170690076680 204828092016 256035115020 341380153360 512070230040 1024140460080